Simplify algebraic expression (involves algebraic fraction)

Question
Simplify the algebraic expression {3(a-b)/9} + {4b/9}

Answer
STEP 1:    The numerator of the first fraction contains an expression with parentheses. This suggests that the first step in simplifying the expression is to remove the parentheses in 3(a – b).

See how the parentheses get cleared when each term inside the parentheses is multiplied by the factor outside.

remove the brackets
STEP 2:    Note that the denominators of the fractions are the same. In such a case, you can simply add the numerators keeping the denominator.
adding the fractions
STEP 3: An algebraic expression is considered simplified only when it has no more like terms in it. But, the numerator has two like terms –3b and 4b. Adding these terms will complete the simplification process.
simplify fractions
The final simplified form of the expression that you get is:
adding all three fractions



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